Predicting Transition in Turbomachinery—Part II: Model Validation and Benchmarking

The ability to predict boundary layer transition locations accurately on turbomachinery airfoils is critical both to evaluate aerodynamic performance and to predict local heat-transfer coefficients with accuracy. Here we report on an effort to include empirical transition models developed in Part I of this report in a Reynolds averaged Navier-Stokes (RANS) solver. To validate the new models, two-dimensional design optimizations utilizing transitional RANS simulations were performed to obtain a pair of low-pressure turbine airfoils with the objective of increasing airfoil loading by 25%. Subsequent experimental testing of the two new airfoils confirmed pre-test predictions of both high and low Reynolds number loss levels. In addition, the accuracy of the new transition modeling capability was benchmarked with a number of legacy cascade and low-pressure turbine (LPT) rig data sets. Good agreement between measured and predicted profile losses was found in both cascade and rig environments. However, use of the transition modeling capability has elucidated deficiencies in typical RANS simulations that are conducted to predict component performance. Efficiency-versus-span comparisons between rig data and multi-stage steady and time-accurate LPT simulations indicate that loss levels in the end wall regions are significantly under predicted. Possible causes for the under-predicted end wall losses are discussed as well as suggestions for future improvements that would make RANS-based transitional simulations more accurate.

[1]  Ron-Ho Ni,et al.  Prediction of 3D multi-stage turbine flow field using a multiple-grid Euler solver , 1989 .

[2]  Reinhard Niehuis,et al.  Numerical Simulation of the Boundary Layer Transition in Turbomachinery Flows , 2001 .

[3]  Tony Arts,et al.  Unsteady and Calming Effects Investigation on a Very High-Lift LP Turbine Blade—Part I: Experimental Analysis , 2003 .

[4]  Howard P. Hodson,et al.  Boundary Layer and Loss Measurements on the Rotor of an Axial-Flow Turbine , 1984 .

[5]  R. Ni A multiple grid scheme for solving the Euler equations , 1981 .

[6]  Daniel J. Dorney,et al.  Study Of Low Reynolds Number Effects On The Losses In Low-Pressure Turbine Blade Rows , 1998 .

[7]  A. Binder,et al.  Turbulence Measurements in a Multistage Low-Pressure Turbine , 1989 .

[8]  John P. Clark,et al.  Predicting Transition in Turbomachinery—Part I: A Review and New Model Development , 2007 .

[9]  Jochen Gier,et al.  Analysis of Complex Three-Dimensional Flow in a Three-Stage LP Turbine by Means of Transitional Navier-Stokes Simulation , 2000 .

[10]  Roddam Narasimha,et al.  The laminar-turbulent transition zone in the boundary layer , 1985 .

[11]  Jochen Gier,et al.  Interaction of Shroud Leakage Flow and Main Flow in a Three-Stage LP Turbine , 2003 .

[12]  Numerical simulation of boundary-layer transition , 1985 .

[13]  O. P. Sharma,et al.  Boundary Layer Development on Turbine Airfoil Suction Surfaces , 1981 .

[14]  D. Wilcox Turbulence modeling for CFD , 1993 .

[15]  John D. Denton,et al.  The 1993 IGTI Scholar Lecture: Loss Mechanisms in Turbomachines , 1993 .

[16]  N. Ron-Ho,et al.  A Multiple-Grid Scheme for Solving the Euler Equations , 1982 .

[17]  Howard P. Hodson,et al.  Boundary Layer Development in Axial Compressors and Turbines: Part 3 of 4— LP Turbines , 1997 .

[18]  R. E. Mayle,et al.  The 1991 IGTI Scholar Lecture: The Role of Laminar-Turbulent Transition in Gas Turbine Engines , 1991 .

[19]  D. Ashpis,et al.  Minnowbrook II 1997 Workshop on Boundary Layer Transition in Turbomachines , 1998 .

[20]  Reza S. Abhari,et al.  Effects of Labyrinth Seal Variation on Multistage Axial Turbine Flow , 2003 .

[21]  J. E. LaGraff,et al.  Measurement and Modeling of the Gas Turbine Blade Transition Process as Disturbed by Wakes , 1989 .

[22]  Klaus Heinig,et al.  Numerical and Experimental Investigation of Unsteady Flow Interaction in a Low Pressure Multistage Turbine , 2000 .

[23]  Howard P. Hodson,et al.  Boundary Layer Development in Axial Compressors and Turbines: Part 1 of 4—Composite Picture , 1997 .

[24]  Roger L. Davis,et al.  Prediction of 3-D unsteady flow in multi-stage turbomachinery using an implicit dual time-step approach , 1996 .

[25]  Denis J. Doorly,et al.  Simulation of wake passing in a stationary turbine rotor cascade , 1985 .

[26]  J. Bons,et al.  The Fluid Dynamics of LPT Blade Separation Control Using Pulsed Jets , 2001 .